Least Common Multiple of 492/71, 431/5479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/71, 431/5479 quickly i.e. 212052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/71, 431/5479 is 212052.

LCM(492/71, 431/5479) = 212052

LCM of 492/71, 431/5479

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 492/71,431/5479

Given numbers are 492/71,431/5479

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 492,431

Least Common Multiple of Numerators i.e. LCM of 492,431 is 212052.

GCF of Denominators means GCF of 71,5479 as per the given fractions.

GCF of 71,5479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,431

LCM of Fractions 492/71,431/5479 is 212052

Given numbers has no common factors except 1. So, there LCM is their product i.e 212052

Least Common Multiple of 492,431 with GCF Formula

Least Common Multiple of 492,431 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 492,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(492,431) x common factors =1 x 1 = 1

LCM(492,431) = ( 492 × 431 ) / 1

LCM(492,431) = 212052 / 1

LCM(492,431) = 212052


Lets's calculate GCF of 71,5479

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212052/1

Therefore the LCM of Fractions 492/71,431/5479 is 212052

Greatest Common Factor of 71,5479 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,5479 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 5479

List of positive integer factors of 5479 that divides 5479 without a remainder.

1,5479

Greatest Common Factor

We found the factors 71,5479 . The biggest common factor number is the GCF number.
So the greatest common factor 71,5479 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 492/71, 431/5479

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 492/71, 431/5479?

Answer: LCM of Numerators as per given numbers 492/71, 431/5479 is

LCM of Numerators i.e. for 492,431 is 212052

GCF of denominators i.e. for 71,5479 is 1.

Thus, LCM of Fractions is 212052.Finally, LCM of Fractions for 492/71, 431/5479 is 212052.